725059032984 has 1152 divisors, whose sum is σ = 2673737164800. Its totient is φ = 174680064000.

The previous prime is 725059032983. The next prime is 725059033031. The reversal of 725059032984 is 489230950527.

725059032984 is a `hidden beast` number, since 7 + 25 + 0 + 590 + 3 + 29 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 725059032984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725059032983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1340219754 + ... + 1340220294.

It is an arithmetic number, because the mean of its divisors is an integer number (2320952400).

Almost surely, 2^725059032984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725059032984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336868582400).

725059032984 is an abundant number, since it is smaller than the sum of its proper divisors (1948678131816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725059032984 is a wasteful number, since it uses less digits than its factorization.

725059032984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 725059032984 in words is "seven hundred twenty-five billion, fifty-nine million, thirty-two thousand, nine hundred eighty-four".